Search a number
-
+
3068106510 = 235719240471
BaseRepresentation
bin1011011011011111…
…1001011100001110
321220211011221220110
42312313321130032
522240413402020
61224240100450
7136013321640
oct26667713416
97824157813
103068106510
111334958917
12717604726
1339b83c251
14211694890
1512e5488e0
hexb6df970e

3068106510 has 96 divisors (see below), whose sum is σ = 8881823232. Its totient is φ = 664355520.

The previous prime is 3068106469. The next prime is 3068106511. The reversal of 3068106510 is 156018603.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3068106511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55575 + ... + 96045.

It is an arithmetic number, because the mean of its divisors is an integer number (92518992).

Almost surely, 23068106510 is an apocalyptic number.

3068106510 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3068106510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4440911616).

3068106510 is an abundant number, since it is smaller than the sum of its proper divisors (5813716722).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3068106510 is a wasteful number, since it uses less digits than its factorization.

3068106510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40526 (or 40507 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 3068106510 is about 55390.4911514603. The cubic root of 3068106510 is about 1453.0820704533.

The spelling of 3068106510 in words is "three billion, sixty-eight million, one hundred six thousand, five hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 190 210 266 285 361 399 570 665 722 798 1083 1330 1805 1995 2166 2527 3610 3990 5054 5415 7581 10830 12635 15162 25270 37905 40471 75810 80942 121413 202355 242826 283297 404710 566594 607065 768949 849891 1214130 1416485 1537898 1699782 2306847 2832970 3844745 4249455 4613694 5382643 7689490 8498910 10765286 11534235 14610031 16147929 23068470 26913215 29220062 32295858 43830093 53826430 73050155 80739645 87660186 102270217 146100310 161479290 204540434 219150465 306810651 438300930 511351085 613621302 1022702170 1534053255 3068106510